Nonlinear Oscillations of a Mass Attached to Linear and Nonlinear Springs in Series Using Approximate Solutions
| dc.contributor.author | Beyza BOSTANCI | |
| dc.contributor.author | M. M. Fatih KARAHAN | |
| dc.date.accessioned | 2024-07-24T09:13:31Z | |
| dc.date.available | 2024-07-24T09:13:31Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | Nonlinear oscillations of a mass with serial linear and nonlinearstiffness on a frictionless surface is considered. Equation of motion of the considered system is obtained. For analysing of the system, relatively new perturbation method that is named Multiple Scales Lindstedt Poincare (MSLP) and classical multiple scales (MS) methods are used.Both approximate solutions are compared with the numerical solutions for weaklyand strongly nonlinear systems. For weakly nonlinear systems, both approximatesolutions are in excellent agreement with numerical simulations. However, forstrong nonlinearities, MS method is not give reliable results while MSLP methodcan provide acceptable solutions with numerical solutions. | |
| dc.identifier.DOI-ID | 10.18466/cbayarfbe.397802 | |
| dc.identifier.issn | 1305-130X | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/25346 | |
| dc.language.iso | eng | |
| dc.subject | [Fen > Mühendislik > Mühendislik, Makine] | |
| dc.title | Nonlinear Oscillations of a Mass Attached to Linear and Nonlinear Springs in Series Using Approximate Solutions | |
| dc.type | Araştırma Makalesi |